257101 has 4 divisors (see below), whose sum is σ = 276892. Its totient is φ = 237312.

The previous prime is 257099. The next prime is 257107. The reversal of 257101 is 101752.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 75625 + 181476 = 275^2 + 426^2 .

It is a cyclic number.

It is not a de Polignac number, because 257101 - 2¹ = 257099 is a prime.

It is a super-2 number, since 2×257101² = 132201848402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9876 + ... + 9901.

It is an arithmetic number, because the mean of its divisors is an integer number (69223).

2²⁵⁷¹⁰¹ is an apocalyptic number.

It is an amenable number.

257101 is a deficient number, since it is larger than the sum of its proper divisors (19791).

257101 is a wasteful number, since it uses less digits than its factorization.

257101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19790.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 257101 is about 507.0512794580. The cubic root of 257101 is about 63.5869394222.

Adding to 257101 its reverse (101752), we get a palindrome (358853).

The spelling of 257101 in words is "two hundred fifty-seven thousand, one hundred one".